Delay-Range-Dependent Global Robust Passivity Analysis of Discrete-Time Uncertain Recurrent Neural Networks with Interval Time-Varying Delay
Author(s) -
Chien-Yu Lu,
Chin-Wen Liao,
Hsun-Heng Tsai
Publication year - 2009
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2009/430158
Subject(s) - passivity , lipschitz continuity , discrete time and continuous time , control theory (sociology) , interval (graph theory) , mathematics , bounded function , artificial neural network , linear matrix inequality , computer science , range (aeronautics) , mathematical optimization , control (management) , mathematical analysis , statistics , combinatorics , artificial intelligence , electrical engineering , engineering , materials science , machine learning , composite material
This paper examines a passivity analysis for a class of discrete-time recurrent neural networks (DRNNs) with norm-bounded time-varying parameter uncertainties and interval time-varying delay. The activation functions are assumed to be globally Lipschitz continuous. Based on an appropriate type of Lyapunov functional, sufficient passivity conditions for the DRNNs are derived in terms of a family of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness and applicability
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